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Simplifying 4x + -7 + 12 + -3x = 5x + 12 + -3 Reorder the terms: -7 + 12 + 4x + -3x = 5x + 12 + -3 Combine like terms: -7 + 12 = 5 5 + 4x + -3x = 5x + 12 + -3 Combine like terms: 4x + -3x = 1x 5 + 1x = 5x + 12 + -3 Reorder the terms: 5 + 1x = 12 + -3 + 5x Combine like terms: 12 + -3 = 9 5 + 1x = 9 + 5x Solving 5 + 1x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 1x + -5x = 9 + 5x + -5x Combine like terms: 1x + -5x = -4x 5 + -4x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -4x = 9 + 0 5 + -4x = 9 Add '-5' to each side of the equation. 5 + -5 + -4x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 9 + -5 -4x = 9 + -5 Combine like terms: 9 + -5 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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